19-limit: Difference between revisions

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In 19-limit [[Just_intonation|Just Intonation]], all ratios in the system will contain no primes higher than 19.
In 19-limit [[Just_intonation|Just Intonation]], all ratios in the system will contain no primes higher than 19.


==19-odd limit Intervals==
==19-odd limit Intervals of 19==


{| class="wikitable"
{| class="wikitable"
Line 7: Line 7:
! | Ratio
! | Ratio
! | Cents Value
! | Cents Value
! colspan="2" |[[Kite's color notation|Color name]]
! | Name
! | Name
|-
|-
| | [[20/19|20/19]]
| | [[20/19|20/19]]
| | 88.801
| | 88.801
|19uy1
|nuyo 1sn
| | lesser undevicesimal semitone
| | lesser undevicesimal semitone
|-
|-
| | [[19/18|19/18]]
| | [[19/18|19/18]]
| | 93.603
| | 93.603
|19o2
|ino 2nd
| | greater undevicesimal semitone
| | greater undevicesimal semitone
|-
|-
| | [[19/17|19/17]]
| | [[19/17|19/17]]
| | 192.558
| | 192.558
|19o17u2
|nosu 2nd
| | undevicesimal whole tone ("meantone")
| | undevicesimal whole tone ("meantone")
|-
|-
| | [[22/19|22/19]]
| | [[22/19|22/19]]
| | 253.805
| | 253.805
|19u1o2
|nulo 2nd
| | enneadecimal second–third
| | enneadecimal second–third
|-
|-
| | [[19/16|19/16]]
| | [[19/16|19/16]]
| | 297.513
| | 297.513
|19o3
|ino 3rd
| | undevicesimal minor third
| | undevicesimal minor third
|-
|-
| | [[24/19|24/19]]
| | [[24/19|24/19]]
| | 404.442
| | 404.442
|19u3
|inu 3rd
| | lesser undevicesimal major third
| | lesser undevicesimal major third
|-
|-
| | [[19/15|19/15]]
| | [[19/15|19/15]]
| | 409.244
| | 409.244
|19og4
|nogu 4th
| | greater undevicesimal major third
| | greater undevicesimal major third
|-
|-
| | [[19/14|19/14]]
| | [[19/14|19/14]]
| | 528.687
| | 528.687
|19or4
|noru 4th
| | undevicesimal acute fourth
| | undevicesimal acute fourth
|-
|-
| | [[26/19|26/19]]
| | [[26/19|26/19]]
| | 543.015
| | 543.015
|19u3o5
|nutho 5th
| | undevicesimal superfourth
| | undevicesimal superfourth
|-
|-
| | [[19/13|19/13]]
| | [[19/13|19/13]]
| | 656.985
| | 656.985
|19o3u4
|nothu 4th
| | undevicesimal subfifth
| | undevicesimal subfifth
|-
|-
| | [[28/19|28/19]]
| | [[28/19|28/19]]
| | 671.313
| | 671.313
|19uz5
|nuzo 5th
| | undevicesimal grave fifth
| | undevicesimal grave fifth
|-
|-
| | [[30/19|30/19]]
| | [[30/19|30/19]]
| | 790.756
| | 790.756
|19uy5
|nuyo 5th
| | lesser undevicesimal minor sixth
| | lesser undevicesimal minor sixth
|-
|-
| | [[19/12|19/12]]
| | [[19/12|19/12]]
| | 795.558
| | 795.558
|19o6
|ino 6th
| | lesser undevicesimal minor sixth
| | lesser undevicesimal minor sixth
|-
|-
| | [[32/19|32/19]]
| | [[32/19|32/19]]
| | 902.487
| | 902.487
|19u6
|inu 6th
| | undevicesimal major sixth
| | undevicesimal major sixth
|-
|-
| | [[19/11|19/11]]
| | [[19/11|19/11]]
| | 946.195
| | 946.195
|19o1u7
|nolu 7th
| | enneadecimal sixth–seventh
| | enneadecimal sixth–seventh
|-
|-
| | [[34/19|34/19]]
| | [[34/19|34/19]]
| | 1007.442
| | 1007.442
|19u17o7
|nuso 7th
| | undevicesimal minor seventh
| | undevicesimal minor seventh
|-
|-
| | [[36/19|36/19]]
| | [[36/19|36/19]]
| | 1106.397
| | 1106.397
|19u7
|inu 7th
| | lesser undevicesimal major seventh
| | lesser undevicesimal major seventh
|-
|-
| | [[19/10|19/10]]
| | [[19/10|19/10]]
| | 1111.199
| | 1111.199
|19og8
|nogu 8ve
| | greater undevicesimal major seventh
| | greater undevicesimal major seventh
|}
|}


see [[Harmonic_Limit|Harmonic Limit]]      [[Category:19-limit]]
see [[Harmonic_Limit|Harmonic Limit]]       
[[Category:19-limit]]
[[Category:limit]]
[[Category:limit]]
[[Category:prime_limit]]
[[Category:prime_limit]]
[[Category:rank_8]]
[[Category:rank_8]]